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Zepler [3.9K]
2 years ago
10

2/9n + 1/2 = 2/3(n+3) what does n equal?

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0
\dfrac{2}{9}n+\dfrac{1}{2}=\dfrac{2}{3}(n+3)\ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\2\cdot2n+9=6\cdot2(n+3)\\\\4n+9=12(n+3)\\\\4n+9=12n+36\ \ \ \ |subtract\ 9\ from\ both\ sides\\\\4n=12n+27\ \ \ \ |subtract\ 12n\ from\ both\ sides\\\\-8n=27\ \ \ \ \ |divide\ both\ sides\ by\ (-8)\\\\n=-\dfrac{27}{8}\\\\n=-3\dfrac{3}{8}
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8 0
3 years ago
George has $3.71 in pennies,nickels dimes and quarters in his pocket. He has twice as many dimes as nickels, two more nickels th
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<span>pennies = 0.01 $
 nickels = 0.05 $
 dimes = 0.1 $
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4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B%28%20%5Cfrac%7B5%7D%7B3%7D%20%29%7D%5E%7B2n%20%2B%201%7D%20%20%7B%28%20%5Cfrac%7B5%7D%7
Alisiya [41]

Answer:

n = -4

Step-by-step explanation:

(\frac{5}{3} )^2^n^+^1 * (\frac{5}{3} )^5 = (\frac{5}{3})^n^+^2

in multiplication if the base are same u can add there exponent.

(\frac{5}{3})^2^n^+^1^+^5 = (\frac{5}{3})^n^+^2

base of both sides are equal so their exponent will be equal

2n + 1 + 5 = n + 2

2n + 6 = n + 2

2n - n = 2 - 6

n = -4

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